Applications of the Frobenius formulas for the characters of the symmetric group and the Hecke algebras of type A
From MaRDI portal
Publication:674783
DOI10.1023/A:1008696218125zbMath0866.05056OpenAlexW1480086350MaRDI QIDQ674783
Publication date: 22 May 1997
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1008696218125
Schur functionssymmetric functionKronecker productssymmetric grouprepresentation theoryFrobenius formulaHecke algebrairreducible characterhook partitions
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Ordinary representations and characters (20C15)
Related Items
The combinatorics of transition matrices between the bases of the symmetric functions and the \(B_ n\) analogues, On quantum immanants and the cycle basis of the quantum permutation space, Asymptotics of \(q\)-Plancherel measures., An explicit formula for the characters of the symmetric group., Markov traces and generic degrees in type \(B_n\)., OCNEANU'S TRACE AND STARKEY'S RULE
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(\lambda\)-rings and the representation theory of the symmetric group
- Shuffles of permutations and the Kronecker product
- A Frobenius formula for the characters of the Hecke algebras
- Formulas for the expansion of the Kronecker products \(S_{(m,n)} \otimes{}S_{(1^{p-r},r)}\) and \(S_{(1^ k2^ l)} \otimes{}S_{(1^{p-r},r)}\)
- On the Kronecker product of Schur functions of two row shapes
- Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
- A formula for the Kronecker products of Schur functions of hook shapes
- Combinatorics of the \(q\)-basis of symmetric functions
- Multiplying Schur functions
- An algorithm for characters of Hecke algebras Hn(q) of type An-1
- Representations and traces of the Hecke algebras H n(q) of type A n−1
- A combinatorial interpretation of the inverse kostka matrix